<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML>
<HEAD>
	<META HTTP-EQUIV="CONTENT-TYPE" CONTENT="text/html; charset=utf-8">
	<TITLE></TITLE>
	<meta name="generator" content="Bluefish 1.0.7">
	<META NAME="CREATED" CONTENT="0;0">
	<META NAME="CHANGEDBY" CONTENT="David Young">
	<META NAME="CHANGED" CONTENT="20090920;8273900">
</HEAD>
<BODY LANG="en-US" DIR="LTR">
<PRE>


<A HREF="CAD_using_en.htm">See operating CAD</A>

<h2>CAD functions for planes and axis systems:</h2>

Planes and axis systems use the shortcut letter R.

Pre-defined planes are:
Vordefinierte Ebenen sind:

RZ   XY (Z=0)  Plane-X = Refsys-X
               Plane-Y = Refsys-Y
              (Plane-Z = Refsys-Z)

RY   XZ (Y=0)  Plane-X = Refsys-IX                        
               Plane-Y = Refsys-Z
              (Plane-Z = Refsys-Y) 

RX   YZ (X=0)  Plane-X = Refsys-Y 
               Plane-Y = Refsys-Z
              (Plane-Z = Refsys-X)

RIZ  XY (Z=0)  Plane-X = Refsys-X
               Plane-Y = Refsys-IY
              (Plane-Z = Refsys-IZ)

RIY  XZ (Y=0)  Plane-X = Refsys-IX
               Plane-Y = Refsys-IZ
              (Plane-Z = Refsys-IY)

RIX  YZ (X=0)  Plane-X = Refsys-Y 
               Plane-Y = Refsys-IZ
              (Plane-Z = Refsys-IX)



____________________________________________________________________________
<p><A NAME="F0"></A></p>

<h2>PLN Z-Axis [X-Axis]</h2>
Plane from Z-Axis (normal vector),
  optional origin, X-Axis or point on x-axis, offset along z-axis.

  [Origin]          optional;
  Z-Axis            enter DX or DY or DZ or a vektor;
                    (the Z-axis of the new plane)
  [X-Axis]          optional: the new X-axis; DX or DY or DZ
                    or a defined vector or a point on the new x-axis.
  [offset Z-axis]   optional: distance of the new origin along the
                    new z-axis



Examples:
# Plane normal to the Z-axis, with distance.
R1=PERP DZ 100
# Plane normal to the Z-axis, through point.
R2=PERP P(0 0 100) DZ
# Plane in point p1; normal to the absolute X-axis;
#   new X-axis direction of absolute Z-axis;
#   distance 10 into direction of new Z-axis.
P1=P(100 0 0)
R3=PERP P1 DX DZ 50

# Level from origin, normal vector and a point on the x-axis of the new plane
R11 = PERP P(100 100 100) D(0 0 1) P(101 100 100)


R12=PERP P(100 150 0) D(ANG(90) ANG(45))

<!--
Define a normal plane on the X-axis by entering a point or the X distance.
A plane is defined parallel to the YZ plane.
  The new X-axis corresponds to the Y-axis,
  The new Y-axis corresponds to the Z-axis.
  The new Z-axis corresponds to the X-axis.
  The plane is displayed at the X-axis (Y=0, Z=0).
   

Example:
R1=DX 100
R2=DX P(100 0 0)
R2=X(100)


<p><A NAME="F1"></A></p>
<h2>PLN Y-normal</h2>
Define a normal plane on the Y-axis by entering a point or the Y distance.
A plane is defined parallel to the XZ plane.
  The new X-axis corresponds to the X-axis,
  The new Y-axis corresponds to the Z-axis.
  The new Z-axis corresponds to the main Y-axis.
  The plane is displayed at the Y-axis (X=0, Z=0).

Example:
R1=DY 100
R2=DY P(0 100 0)
R5=Y(100)


<p><A NAME="F2"></A></p>
<h2>PLN Z-normal</h2>
Define a normal plane on the Z-axis by entering a point or the Z distance.
A plane is defined parallel to the XY plane,
  All axis directions are the same as the main axis system RZ.
  The distance is on the Z-axis.
  The plane is displayed at the Z-axis (X=0, Y=0).

Example:
R1=DZ 100
R2=DZ P(0 0 100)
R5=Z(100)
-->



<p><A NAME="F1"></A></p>
<h2>PLN X-Axis [Y-Axis]</h2>
Plane from X-Axis,
  optional origin, Y-Axis or point on y-axis, offset along z-axis.

  [Origin]          optional;
  X-Axis            <a href="CAD_Base_en.htm#D">Vector</a> or point on the new X-axis
  [Y-Axis]          optional: <a href="CAD_Base_en.htm#D">Vector</a> or point on the new y-axis
  [offset Z-axis]   optional: distance of the new origin along the
                    new z-axis


Examples:
# origin, X-axis, Y-axis.
R12=P(100 100 100) D(1 0 0) D(0 1 0)

# Level/reference system through three 3D points;
#  po = the origin,
#  px = a point on the x-axis of the new plane
#  pt = a point in the plane (must not be on the line po-px).
R4 = P(100 100 100) P(101,100,100) P(100,101,100)

R20=P(100 100 25) DX DY
R10 = P(100 100 100) DZ
R11 = P(100 100 100) D(0 0 1) P (101 100 100)
R13 = P(100 100 100) L(P(0 0 0) P(0 0 100))



<!--
<p><A NAME="F5"></A>
<h2>PLN PT X-Axis VEC_in_Plane</h2>
Plane of origin X-Axis Vector Vector_in_the_plane
   X-Axis Vector: The direction of the X-axis of the new plane;
   Vector_in_the_plane: Another vector in the new plane.

Example:
R12 = P(100 100 100) D(1 0 0) D(0 1 0)
R20 = P(100 100 25) DX DY



<p><A NAME="F6"></A></p>
<h2>PLN PT PT PT</h2>
Plane/reference system by the three 3D points po px pt;
   Po = the origin point,
   Px = a point on the x-axis of the new plane,
   Pt = a point in the plane (which must not be in line with po-px)

Example:
R4 = P(100 100 100) P(101 100 100) P(100 101 100)
-->



<p><A NAME="F2"></A></p>
<h2>PLN PT Plane Offset Angle</h2>
Move, rotate a plane/reference system
  Set new origin,
  move the origin along X/Y/Z-axis,
  rotate the X-axis and Y-axis around the Z-axis
  All parameters are optional.

  [Origin]         the new orgin
  [Refsys]         plane to be moved 
  [offset-X-axis]  move the new origin along the X-axis
  [offset-Y-axis]  move the new origin along the Y-axis
  [offset-Z-axis]  move the new origin along the Z-axis
  [Angle-around-Z] rotate the reference system around Z-axis (degree)

Example:
#
# R20 - set new orgin
R21=RSYS P(100 100 50) R20
# R20 - move orgin, rotate axes
R22=RSYS R20 X(100) Y(100) ANG(180)



____________________________________________________________________________
<h2>MAN functions for planes and axis systems (further functions):</h2>

Plane parallel to the XY plane, all axis directions are the same as
  the main axis. The distance on the Z-axis is specified.
  R = Z (Z_distance)
R5 = Z(100)


Plane parallel to the YZ plane, and the new X-axis corresponds
  to the 3D Y-axis, the new Y-axis corresponds to the 3D Z-axis.
  The new Z-axis is the axis-X.
  R = X(X_distance)


Plane parallel to the XZ plane, and the new X-axis corresponds to the
  3D X-axis,
  The new Y-axis corresponds to the 3D Z-axis.
  The new Z-axis is the axis-Y.
  R = Y(Y_distance)







____________________________________________________________________________
</PRE>
</BODY>
</HTML>
